Book picks similar to
Introduction to Differential Geometry of Space Curves and Surfaces by Taha Sochi
mathematics
geometry
sols-exist-differential-geometry
undergrad-math
A Beautiful Question: Finding Nature's Deep Design
Frank Wilczek - 2015
Wilczek’s groundbreaking work in quantum physics was inspired by his intuition to look for a deeper order of beauty in nature. In fact, every major advance in his career came from this intuition: to assume that the universe embodies beautiful forms, forms whose hallmarks are symmetry—harmony, balance, proportion—and economy. There are other meanings of “beauty,” but this is the deep logic of the universe—and it is no accident that it is also at the heart of what we find aesthetically pleasing and inspiring.Wilczek is hardly alone among great scientists in charting his course using beauty as his compass. As he reveals in A Beautiful Question, this has been the heart of scientific pursuit from Pythagoras, the ancient Greek who was the first to argue that “all things are number,” to Galileo, Newton, Maxwell, Einstein, and into the deep waters of twentiethcentury physics. Though the ancients weren’t right about everything, their ardent belief in the music of the spheres has proved true down to the quantum level. Indeed, Wilczek explores just how intertwined our ideas about beauty and art are with our scientific understanding of the cosmos.Wilczek brings us right to the edge of knowledge today, where the core insights of even the craziest quantum ideas apply principles we all understand. The equations for atoms and light are almost literally the same equations that govern musical instruments and sound; the subatomic particles that are responsible for most of our mass are determined by simple geometric symmetries. The universe itself, suggests Wilczek, seems to want to embody beautiful and elegant forms. Perhaps this force is the pure elegance of numbers, perhaps the work of a higher being, or somewhere between. Either way, we don’t depart from the infinite and infinitesimal after all; we’re profoundly connected to them, and we connect them. When we find that our sense of beauty is realized in the physical world, we are discovering something about the world, but also something about ourselves.Gorgeously illustrated, A Beautiful Question is a mind-shifting book that braids the age-old quest for beauty and the age-old quest for truth into a thrilling synthesis. It is a dazzling and important work from one of our best thinkers, whose humor and infectious sense of wonder animate every page. Yes: The world is a work of art, and its deepest truths are ones we already feel, as if they were somehow written in our souls.
Two Decades Naked
Leigh Hopkinson - 2016
None of them fit so well, however, as stripping. She figured it couldn't be that difficult - she was just going to dance on stage in front of a bunch of strangers. She'd show them a bit of skin, but the gig wasn't going to last that long. Or so she imagined. While stripping was harder than Leigh thought it would be, she hadn't counted on it being so exhilarating - or lucrative. So when she moved to Melbourne and needed to make a living, the lure of her old job was strong. The world of the strip club had become familiar, even reassuring, though some of the people she met during the course of her job didn't exactly give her faith in the future of humanity. Over the course of Leigh's career, she learnt a lot about other people and even more about herself, and the result is a story that delves into a world that not everyone visits but everyone finds fascinating.
Causality: Models, Reasoning, and Inference
Judea Pearl - 2000
It shows how causality has grown from a nebulous concept into a mathematical theory with significant applications in the fields of statistics, artificial intelligence, philosophy, cognitive science, and the health and social sciences. Pearl presents a unified account of the probabilistic, manipulative, counterfactual and structural approaches to causation, and devises simple mathematical tools for analyzing the relationships between causal connections, statistical associations, actions and observations. The book will open the way for including causal analysis in the standard curriculum of statistics, artifical intelligence, business, epidemiology, social science and economics. Students in these areas will find natural models, simple identification procedures, and precise mathematical definitions of causal concepts that traditional texts have tended to evade or make unduly complicated. This book will be of interest to professionals and students in a wide variety of fields. Anyone who wishes to elucidate meaningful relationships from data, predict effects of actions and policies, assess explanations of reported events, or form theories of causal understanding and causal speech will find this book stimulating and invaluable. Professor of Computer Science at the UCLA, Judea Pearl is the winner of the 2008 Benjamin Franklin Award in Computers and Cognitive Science.
The Prince of Mathematics: Carl Friedrich Gauss
M.B.W. Tent - 2006
- predicted the reappearance of a lost planet, - discovered basic properties of magnetic forces, - invented a surveying tool used by professionals until the invention of lasers. Based on extensive research of original and secondary sources, this historical narrative will inspire young readers and even curious adults with its touching story of personal achievement.
Life Is Yours to Win: Lessons Forged from the Purpose, Passion, and Magic of Baseball
Augie Garrido - 2011
He is also the winner of more National Coach of the Year awards than any other college coach. Garrido’s former teams at Cal State Fullerton and, more recently, at the University of Texas together have compiled a total of five College World Series championships under his leadership. But despite his unmatched record as a winner, Coach Garrido is not a win-at-all-costs coach. He teaches his players to focus on developing character, being good teammates, mastering all facets of the game, and playing with joy in the moment rather than focusing on the scoreboard. Augie teaches that the challenges faced in the batter’s box or on the pitcher’s mound are universal—and that the lessons learned on the diamond are applicable off the field, too. Life Is Yours to Win follows the coach’s journey of self-discovery and his evolution from being driven by fear to being motivated by passion. His unique and compelling book offers this revered leader’s philosophy on life and his thoughtful approach to helping young men understand both who they are and how they can be successful in their work, their relationships, and their communities. Every individual will find advice worth following including: •BE A PLAYER, NOT A PROSPECT—If you want to be considered a star in your field, whatever that may be, you need to be fully engaged. Augie once had his Labrador retriever demonstrate the joy of play to a team that needed a reminder of why they loved baseball as children. •STEP UP, SUPERMAN—Augie stages a costumed Superhero Scrimmage each Halloween to remind his players that their inner superhero is just waiting for the perfect moment when preparation meets opportunity, potential is fulfilled, and destiny is realized. •THE FEARLESS FIELD—To be successful in the often cruel game of baseball, players must master fear and other emotions so they are energized rather than paralyzed. Augie once rented a hearse and placed a casket on the pitcher’s mound to help a slumping Cal State Fullerton team bury their fears and put losses behind them. •BUDDHA AT BAT—Bunting and other “small ball” skills are not as glorified as home runs and big plays, but Coach Garrido’s teams are known for putting players in scoring position and winning games by following a Zen-like philosophy of claiming small victories during each at bat, in each inning that add up to winning records. Augie’s coaching methods are unconventional, but his creativity and wry humor provide masterful life lessons. His insights will help you both on and off the field by providing fresh approaches to conquering fears, living with joy and passion in each moment, establishing personal principles, and appreciating the value of both losing and winning. This is a book by a beloved college coach but it is packed with Major League insights and anecdotes featuring many of baseball’s greatest players and most inspiring spirits. Life Is Yours to Win will appeal to anyone who appreciates the wisdom of a proven winner in sports and in life.
Intentional Talk: How to Structure and Lead Productive Mathematical Discussions
Elham Kazemi - 2014
In
Intentional Talk: How to Structure and Lead Productive Mathematical Discussions
, authors Elham Kazemi and Allison Hintz provide teachers with a framework for planning and facilitating purposeful math talks that move group discussions to the next level while achieving a mathematical goal.Through detailed vignettes from both primary and upper elementary classrooms, the authors provide a window into how teachers lead discussions and make important pedagogical decisions along the way. By creating equitable opportunities to share ideas, teachers can orient students to one another while enforcing that all students are sense makers and their ideas are valued. They examine students’ roles as both listeners and talkers, offering numerous strategies for improving student participation.
Intentional Talk
includes a collection of lesson planning templates in the appendix to help teachers apply the right structure to discussions in their own classrooms.
Dataclysm: Who We Are (When We Think No One's Looking)
Christian Rudder - 2014
In Dataclysm, Christian Rudder uses it to show us who we truly are. For centuries, we’ve relied on polling or small-scale lab experiments to study human behavior. Today, a new approach is possible. As we live more of our lives online, researchers can finally observe us directly, in vast numbers, and without filters. Data scientists have become the new demographers. In this daring and original book, Rudder explains how Facebook "likes" can predict, with surprising accuracy, a person’s sexual orientation and even intelligence; how attractive women receive exponentially more interview requests; and why you must have haters to be hot. He charts the rise and fall of America’s most reviled word through Google Search and examines the new dynamics of collaborative rage on Twitter. He shows how people express themselves, both privately and publicly. What is the least Asian thing you can say? Do people bathe more in Vermont or New Jersey? What do black women think about Simon & Garfunkel? (Hint: they don’t think about Simon & Garfunkel.) Rudder also traces human migration over time, showing how groups of people move from certain small towns to the same big cities across the globe. And he grapples with the challenge of maintaining privacy in a world where these explorations are possible. Visually arresting and full of wit and insight, Dataclysm is a new way of seeing ourselves—a brilliant alchemy, in which math is made human and numbers become the narrative of our time.
Unknown Quantity: A Real and Imaginary History of Algebra
John Derbyshire - 2006
As he did so masterfully in Prime Obsession, Derbyshire brings the evolution of mathematical thinking to dramatic life by focusing on the key historical players. Unknown Quantity begins in the time of Abraham and Isaac and moves from Abel's proof to the higher levels of abstraction developed by Galois through modern-day advances. Derbyshire explains how a simple turn of thought from this plus this equals this to this plus what equals this? gave birth to a whole new way of perceiving the world. With a historian's narrative authority and a beloved teacher's clarity and passion, Derbyshire leads readers on an intellectually satisfying and pleasantly challenging historical and mathematical journey.
Calculus [with CD]
Howard Anton - 1992
New co-authors--Irl Bivens and Stephen Davis--from Davidson College; both distinguished educators and writers.* More emphasis on graphing calculators in exercises and examples, including CAS capabilities of graphing calculators.* More problems using tabular data and more emphasis on mathematical modeling.
Computer Vision: Algorithms and Applications
Richard Szeliski - 2010
However, despite all of the recent advances in computer vision research, the dream of having a computer interpret an image at the same level as a two-year old remains elusive. Why is computer vision such a challenging problem and what is the current state of the art?Computer Vision: Algorithms and Applications explores the variety of techniques commonly used to analyze and interpret images. It also describes challenging real-world applications where vision is being successfully used, both for specialized applications such as medical imaging, and for fun, consumer-level tasks such as image editing and stitching, which students can apply to their own personal photos and videos.More than just a source of "recipes," this exceptionally authoritative and comprehensive textbook/reference also takes a scientific approach to basic vision problems, formulating physical models of the imaging process before inverting them to produce descriptions of a scene. These problems are also analyzed using statistical models and solved using rigorous engineering techniquesTopics and features: Structured to support active curricula and project-oriented courses, with tips in the Introduction for using the book in a variety of customized courses Presents exercises at the end of each chapter with a heavy emphasis on testing algorithms and containing numerous suggestions for small mid-term projects Provides additional material and more detailed mathematical topics in the Appendices, which cover linear algebra, numerical techniques, and Bayesian estimation theory Suggests additional reading at the end of each chapter, including the latest research in each sub-field, in addition to a full Bibliography at the end of the book Supplies supplementary course material for students at the associated website, http: //szeliski.org/Book/ Suitable for an upper-level undergraduate or graduate-level course in computer science or engineering, this textbook focuses on basic techniques that work under real-world conditions and encourages students to push their creative boundaries. Its design and exposition also make it eminently suitable as a unique reference to the fundamental techniques and current research literature in computer vision.
Foundations of Complex Analysis
S. Ponnusamy - 2002
Suitable for a two semester course in complex analysis, or as a supplementary text for an advanced course in function theory, this book aims to give students a good foundation of complex analysis and provides a basis for solving problems in mathematics, physics, engineering and many other sciences.
Building Thinking Classrooms in Mathematics, Grades K-12: 14 Teaching Practices for Enhancing Learning
Peter Liljedahl - 2020
Building Thinking Classrooms in Mathematics, Grades K-12
helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guideProvides the what, why, and how of each practice Includes firsthand accounts of how these practices foster thinking Offers a plethora of macro moves, micro moves, and rich tasks to get started
Writing Your Dissertation
Derek Swetnam - 1995
For many students this can be a terrifying experience. Although colleges and universities may have different systems, basic principles for planning research and making the compromise between what is desirable and what is feasable are the same. This book aims to provide a plain guide to ways of producing a dissertation with minimum stress and frustration. It covers such areas as choosing a subject, planning the total work, selecting research methods and techniques, written style and presentation.
The Fourth Dimension: A Guided Tour of the Higher Universes
Rudy Rucker - 1984
and now, The Fourth Dimension is this handy paperback. The result is a fantastic, enlightening, and mind-expanding reading experience. In text, pictures, and puzzles, master science and science fiction writer Rudy Rucker immerses his readers in an amazing exploration of a mysterious realm — a realm once seen only by mystics, physicists, and mathematicians. More accessible than Gödel, Escher, Bach and more playful than The Tao of Physics, Rucker's The Fourth Dimension is the most engaging tour of other dimensions since Flatland.David Povilaitis' 200 drawings illustrate Rucker's heady insights while dozens of puzzles and problems make the book a delight to the eye and mind. As Eileen Pollack has written in her rave review, The Fourth Dimension is "magical ... Its effects persist beyond its covers." That's because, like everything else in the fourth dimension, this is more than a book, it is a mental spaceship capable of grand tours of universes far beyond our own.
Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else
Jordan Ellenberg - 2021
For real.If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel.Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry," from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.